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Finding the Fourth Proportional to 2,372.07, 3,556.29 and 811.08

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Solution

The fourth proportional to 2,372.07, 3,556.29 and 811.08 is: 1,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.07 : 3,556.29 = 811.08 : x
  2. Step 2: Convert to fraction form
    2,372.07/3,556.29 = 811.08/x
  3. Step 3: Cross multiply
    2,372.07x = 3,556.29 × 811.08
  4. Step 4: Simplify right side
    2,372.07x = 2,884,435.69
  5. Step 5: Solve for x
    x = 2,884,435.69/2,372.07
  6. Step 6: Final answer
    x = 1,216.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.